Use the definition of inverses to determine whether f and g are inverses.
-$$f ( x ) = \frac { 3 + x } { x } , \quad g ( x ) = \frac { 3 } { x - 1 }$$

Name: Use the definition of inverses to determine whether f and g are inverses. -\[f ( x ) = \frac { 3 + x } { x } , \quad g ( x ) = \frac { 3 } { x - 1 }\]
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f(g(x)) = f(3/(x-1)) = (3 + 3/(x-1))/(3/(x-1)) = (3(x-1) + 3)/(3) = xg(f(x)) = g((3 + x)/x) = 3/(((3 + x)/x) - 1) = 3/(3/x - 1) = x

Use the Definition of Inverses to Determine Whether F and G